The moment of inertia of a rod of mass $M$ and length $L$ about an axis perpendicular to the rod and passing through a point at a distance of $L/4$ from one of its ends is:

If an object lies in the $X-Y$ plane,then according to the Perpendicular Axis Theorem:

The moment of inertia of a uniform circular disc about a diameter is $I$. What is its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim (in $I$)?

The moment of inertia of a thin circular disc about an axis passing through its centre and perpendicular to its plane is $I$. Then,the moment of inertia of the disc about an axis parallel to its diameter and touching the edge of the rim is

The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the centre is $\frac{Ma^2}{6}$,where $M$ is the mass and $a$ is the side of the square plate. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

$I_{CM}$ is the moment of inertia of a circular disc about an axis $(CM)$ passing through its center and perpendicular to the plane of the disc. $I_{AB}$ is its moment of inertia about an axis $AB$ perpendicular to the plane and parallel to the axis $CM$ at a distance $\frac{2}{3}R$ from the center,where $R$ is the radius of the disc. The ratio of $I_{AB}$ and $I_{CM}$ is $x:9$. The value of $x$ is $........$